Information on Result #906712
Linear OOA(2514, 650, F25, 2, 6) (dual of [(650, 2), 1286, 7]-NRT-code), using generalized (u, u+v)-construction based on
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(250, s, F25, 2, 0) for arbitrarily large s, using
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(251, 26, F25, 2, 1) (dual of [(26, 2), 51, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(251, s, F25, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [i] based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(251, s, F25, 2, 1) for arbitrarily large s, using
- linear OOA(251, 26, F25, 2, 1) (dual of [(26, 2), 51, 2]-NRT-code) (see above)
- linear OOA(251, 26, F25, 2, 1) (dual of [(26, 2), 51, 2]-NRT-code) (see above)
- linear OOA(252, 26, F25, 2, 2) (dual of [(26, 2), 50, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;50,25) [i]
- linear OOA(253, 26, F25, 2, 3) (dual of [(26, 2), 49, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;49,25) [i]
- linear OOA(256, 26, F25, 2, 6) (dual of [(26, 2), 46, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;46,25) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2575, 4194951, F25, 2, 13) (dual of [(4194951, 2), 8389827, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(2570, 4194951, F25, 2, 12) (dual of [(4194951, 2), 8389832, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(2514, 324, F25, 10, 6) (dual of [(324, 10), 3226, 7]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |